This compilation relies on Depeyrot for the Carolingians, Duplessy for the Royals and Gadoury for post 1789 coinage. There are a number of royals that might have Paris coinage that are not on this list because I can’t be sure they have identifiable coinage from the city.

Carolingian

Pepin le Bref                   CB/Charles the Simple       Charles III
Charlemagne                       Raoul
Louis the Pious                   Louis IV d’Outre-Mer
Charles the Bald                  Louis V
Eudes

Capetian

Robert II                        Philippe II
Henri I                           Louis IX
Philippe I                        Philippe IV
Louis VI                          Louis X
Louis VII

Valois

Philippe VI                       Francois I (transition from mint marks in
                                  points to letters)
Jean II                         Henri II
Charles V                         Francois II
Charles VI                        Charles IX
Charles VII                      Henri III (letter A and point 18e)
Louis XI                          Charles X (pretender)
Charles VIII
Louis XII

English

Henry VI

Bourbon

Henri IV (letter with point 18e)  Louis XV
Louis XIII                       Louis XVI
Louis XIV

Post 1789

Constitutional period
Ist Republic                    Louis Philippe
Napoleon                          2nd Republic
Louis XVIII                     Napoleon III
Charles X                       3rd Republic